$1$ mg$/$ml solution of some component $($MW $=100)$ is injected on the column $(25$ m$,0\mathrm{.}25$ mm I.D$.,\mathrm{.}3$ um film thickness$)$ using $100$:$1$ split $($evaporation expansion of the solvent is $1000).$ Gas flow rate through the column is $1$ ml$/$min; component partition coefficient is $10.$ What are the chromatographic zone velocities $($cm$/$sec$)$ at the column inlet and at the outlet? $($Isothermal run, do not account for gas compression$).$ Explain.